The scatter plot below shows the population of a village (P) over time (t). Describe the relationship between the population of the village and time.
A graph is shown with P-axis as vertical and t-axis as horizontal. The P-axis ranges from 0 to 5000 in increments of 1000. The t-axis ranges from 0 to 10 in increments of 2.• Six points labeled at the following:
• Left-parenthesis 1 comma 2990 right-parenthesis
• Left-parenthesis 2 comma 3200 right-parenthesis
• Left-parenthesis 3.9 comma 3100 right-parenthesis
• Left-parenthesis 4 comma 3000 right-parenthesis
• Left-parenthesis 4.9 comma 3050 right-parenthesis
• Left-parenthesis 6 comma 3000 right-parenthesis
A. The population remains roughly the same over time.
B. The population is increasing over time.
C. The population is decreasing over time.
D. none of these
learn how to type coordinates, as in (6,3000), and we'll talk.
D. None of these.
The scatter plot shows a fluctuating pattern, where the population of the village rises and falls over time. There is no clear trend of the population remaining the same, increasing, or decreasing consistently.
Based on the given scatter plot:
- At time t=1, the population is 2990.
- At time t=2, the population is 3200.
- At time t=3.9, the population is 3100.
- At time t=4, the population is 3000.
- At time t=4.9, the population is 3050.
- At time t=6, the population is 3000.
From these points, we can observe that the population of the village fluctuates but generally remains around the same value throughout the given time period. It neither shows a clear increasing nor decreasing trend. Therefore, the correct answer is A. The population remains roughly the same over time.
To understand the relationship between the population of the village and time, you can analyze the scatter plot provided. Here are the steps to do so:
1. Look at the points on the scatter plot and observe their distribution.
2. Identify the general trend in the points. In this case, you can see that the points are not randomly distributed but rather follow a pattern.
3. Examine the direction in which the points are moving. Is there a consistent upward or downward trend?
4. Based on the information from the scatter plot, make an inference about the relationship between the population of the village and time.
Now, let's apply these steps to the scatter plot provided:
- Looking at the points, we see that they are clustered around the 3000 population mark and not spread out across the plot.
- The points seem to be roughly in the middle and don't show a clear increase or decrease from start to finish.
- There is no consistent upward or downward trend visible in the plot.
Based on these observations, we can conclude that the population of the village remains roughly the same over time. Therefore, the correct answer is A. The population remains roughly the same over time.